Atkin-Lehner |
2+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
61088c |
Isogeny class |
Conductor |
61088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-1486515392 = -1 · 26 · 234 · 83 |
Discriminant |
Eigenvalues |
2+ -3 2 1 1 4 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,251,1048] |
[a1,a2,a3,a4,a6] |
Generators |
[4:46:1] |
Generators of the group modulo torsion |
j |
27325297728/23226803 |
j-invariant |
L |
5.1064945322905 |
L(r)(E,1)/r! |
Ω |
0.97995532029296 |
Real period |
R |
0.65136828517213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61088a1 122176bq1 |
Quadratic twists by: -4 8 |